1. ## Equilateral Triangle

A point lies inside an equilateral triangle with sides of length s. Its distances from the 3 sides are x, y, and z. What can you say about x+y+z? Prove your answer.

I know how to build a diagram for this but I am stuck after that? Any ideas?

2. Is it true that the area of the whole triangle is $\displaystyle \frac{xs}{2}+\frac{ys}{2}+\frac{zs}{2}?$

3. Yes if we are using an equilateral triangle then this must be true.

4. Originally Posted by matgrl
Yes if we are using an equilateral triangle then this must be true.
Well then what is the answer to the question?